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Pigeonhole Principle
In mathematics, the pigeonhole principle states that if items are put into containers, with , then at least one container must contain more than one item. For example, if one has three gloves (and none is ambidextrous/reversible), then there must be at least two right-handed gloves, or at least two left-handed gloves, because there are three objects, but only two categories of handedness to put them into. This seemingly obvious statement, a type of counting argument, can be used to demonstrate possibly unexpected results. For example, given that the population of London is greater than the maximum number of hairs that can be present on a human's head, then the pigeonhole principle requires that there must be at least two people in London who have the same number of hairs on their heads. Although the pigeonhole principle appears as early as 1624 in a book attributed to Jean Leurechon, it is commonly called Dirichlet's box principle or Dirichlet's drawer principle after an 1834 t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Drawer
A drawer is a box-shaped container inside a piece of furniture that can be pulled out horizontally to access its contents. Drawers are built into numerous types of furniture, including cabinets, chests of drawers (bureaus), desks, and the like. Construction Drawers can be built in various ways using a variety of materials, including wood, various wood composites, sheet metal, and plastic. Wooden drawers are often designed so that the front face is complete and the end grain from the side pieces does not show. The corners may be dovetailed for additional strength or for aesthetics, and a half-blind dovetail joint may be used for the front corners to hide the joint. To attach the bottom piece of the drawer, a groove may be cut in the four vertical pieces to insert the bottom of the drawer. Handles and locks One or two handles or drawer pulls are commonly attached to the front face of the drawer to facilitate pulling it out from its enclosure. In some cases, drawers ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polish Language
Polish (Polish: ''język polski'', , ''polszczyzna'' or simply ''polski'', ) is a West Slavic language of the Lechitic group written in the Latin script. It is spoken primarily in Poland and serves as the native language of the Poles. In addition to being the official language of Poland, it is also used by the Polish diaspora. There are over 50 million Polish speakers around the world. It ranks as the sixth most-spoken among languages of the European Union. Polish is subdivided into regional dialects and maintains strict T–V distinction pronouns, honorifics, and various forms of formalities when addressing individuals. The traditional 32-letter Polish alphabet has nine additions (''ą'', ''ć'', ''ę'', ''ł'', ''ń'', ''ó'', ''ś'', ''ź'', ''ż'') to the letters of the basic 26-letter Latin alphabet, while removing three (x, q, v). Those three letters are at times included in an extended 35-letter alphabet, although they are not used in native words. The tradition ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Persian Language
Persian (), also known by its endonym Farsi (, ', ), is a Western Iranian language belonging to the Iranian branch of the Indo-Iranian subdivision of the Indo-European languages. Persian is a pluricentric language predominantly spoken and used officially within Iran, Afghanistan, and Tajikistan in three mutually intelligible standard varieties, namely Iranian Persian (officially known as ''Persian''), Dari Persian (officially known as ''Dari'' since 1964) and Tajiki Persian (officially known as ''Tajik'' since 1999).Siddikzoda, S. "Tajik Language: Farsi or not Farsi?" in ''Media Insight Central Asia #27'', August 2002. It is also spoken natively in the Tajik variety by a significant population within Uzbekistan, as well as within other regions with a Persianate history in the cultural sphere of Greater Iran. It is written officially within Iran and Afghanistan in the Persian alphabet, a derivation of the Arabic script, and within Tajikistan in the Tajik alphabet, a de ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Japanese Language
is spoken natively by about 128 million people, primarily by Japanese people and primarily in Japan, the only country where it is the national language. Japanese belongs to the Japonic or Japanese- Ryukyuan language family. There have been many attempts to group the Japonic languages with other families such as the Ainu, Austroasiatic, Koreanic, and the now-discredited Altaic, but none of these proposals has gained widespread acceptance. Little is known of the language's prehistory, or when it first appeared in Japan. Chinese documents from the 3rd century AD recorded a few Japanese words, but substantial Old Japanese texts did not appear until the 8th century. From the Heian period (794–1185), there was a massive influx of Sino-Japanese vocabulary into the language, affecting the phonology of Early Middle Japanese. Late Middle Japanese (1185–1600) saw extensive grammatical changes and the first appearance of European loanwords. The basis of the standard dialect ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Italian Language
Italian (''italiano'' or ) is a Romance language of the Indo-European language family that evolved from the Vulgar Latin of the Roman Empire. Together with Sardinian, Italian is the least divergent language from Latin. Spoken by about 85 million people (2022), Italian is an official language in Italy, Switzerland ( Ticino and the Grisons), San Marino, and Vatican City. It has an official minority status in western Istria ( Croatia and Slovenia). Italian is also spoken by large immigrant and expatriate communities in the Americas and Australia.Ethnologue report for language code:ita (Italy) – Gordon, Raymond G., Jr. (ed.), 2005. Ethnologue: Languages of the World, Fifteenth edition. Dallas, Tex.: SIL International. Online version [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hungarian Language
Hungarian () is an Uralic language spoken in Hungary and parts of several neighbouring countries. It is the official language of Hungary and one of the 24 official languages of the European Union. Outside Hungary, it is also spoken by Hungarian communities in southern Slovakia, western Ukraine ( Subcarpathia), central and western Romania ( Transylvania), northern Serbia ( Vojvodina), northern Croatia, northeastern Slovenia ( Prekmurje), and eastern Austria. It is also spoken by Hungarian diaspora communities worldwide, especially in North America (particularly the United States and Canada) and Israel. With 17 million speakers, it is the Uralic family's largest member by number of speakers. Classification Hungarian is a member of the Uralic language family. Linguistic connections between Hungarian and other Uralic languages were noticed in the 1670s, and the family itself (then called Finno-Ugric) was established in 1717. Hungarian has traditionally been assigned to th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dutch Language
Dutch ( ) is a West Germanic language spoken by about 25 million people as a first language and 5 million as a second language. It is the third most widely spoken Germanic language, after its close relatives German and English. '' Afrikaans'' is a separate but somewhat mutually intelligible daughter languageAfrikaans is a daughter language of Dutch; see , , , , , . Afrikaans was historically called Cape Dutch; see , , , , , . Afrikaans is rooted in 17th-century dialects of Dutch; see , , , . Afrikaans is variously described as a creole, a partially creolised language, or a deviant variety of Dutch; see . spoken, to some degree, by at least 16 million people, mainly in South Africa and Namibia, evolving from the Cape Dutch dialects of Southern Africa. The dialects used in Belgium (including Flemish) and in Suriname, meanwhile, are all guided by the Dutch Language Union. In Europe, most of the population of the Netherlands (where it is the only official language spoken co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Danish Language
Danish (; , ) is a North Germanic language spoken by about six million people, principally in and around Denmark. Communities of Danish speakers are also found in Greenland, the Faroe Islands, and the northern German region of Southern Schleswig, where it has minority language status. Minor Danish-speaking communities are also found in Norway, Sweden, the United States, Canada, Brazil, and Argentina. Along with the other North Germanic languages, Danish is a descendant of Old Norse, the common language of the Germanic peoples who lived in Scandinavia during the Viking Era. Danish, together with Swedish, derives from the ''East Norse'' dialect group, while the Middle Norwegian language (before the influence of Danish) and Norwegian Bokmål are classified as ''West Norse'' along with Faroese and Icelandic. A more recent classification based on mutual intelligibility separates modern spoken Danish, Norwegian, and Swedish as "mainland (or ''continental'') Scandinavian", whi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chinese Language
Chinese (, especially when referring to written Chinese) is a group of languages spoken natively by the ethnic Han Chinese majority and many minority ethnic groups in Greater China. About 1.3 billion people (or approximately 16% of the world's population) speak a variety of Chinese as their first language. Chinese languages form the Sinitic branch of the Sino-Tibetan languages family. The spoken varieties of Chinese are usually considered by native speakers to be variants of a single language. However, their lack of mutual intelligibility means they are sometimes considered separate languages in a family. Investigation of the historical relationships among the varieties of Chinese is ongoing. Currently, most classifications posit 7 to 13 main regional groups based on phonetic developments from Middle Chinese, of which the most spoken by far is Mandarin (with about 800 million speakers, or 66%), followed by Min (75 million, e.g. Southern Min), Wu (74 million, e.g ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bulgarian Language
Bulgarian (, ; bg, label=none, български, bălgarski, ) is an Eastern South Slavic language spoken in Southeastern Europe, primarily in Bulgaria. It is the language of the Bulgarians. Along with the closely related Macedonian language (collectively forming the East South Slavic languages), it is a member of the Balkan sprachbund and South Slavic dialect continuum of the Indo-European language family. The two languages have several characteristics that set them apart from all other Slavic languages, including the elimination of case declension, the development of a suffixed definite article, and the lack of a verb infinitive. They retain and have further developed the Proto-Slavic verb system (albeit analytically). One such major development is the innovation of evidential verb forms to encode for the source of information: witnessed, inferred, or reported. It is the official language of Bulgaria, and since 2007 has been among the official languages of th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arabic Language
Arabic (, ' ; , ' or ) is a Semitic language spoken primarily across the Arab world.Semitic languages: an international handbook / edited by Stefan Weninger; in collaboration with Geoffrey Khan, Michael P. Streck, Janet C. E.Watson; Walter de Gruyter GmbH & Co. KG, Berlin/Boston, 2011. Having emerged in the 1st century, it is named after the Arab people; the term "Arab" was initially used to describe those living in the Arabian Peninsula, as perceived by geographers from ancient Greece. Since the 7th century, Arabic has been characterized by diglossia, with an opposition between a standard prestige language—i.e., Literary Arabic: Modern Standard Arabic (MSA) or Classical Arabic—and diverse vernacular varieties, which serve as mother tongues. Colloquial dialects vary significantly from MSA, impeding mutual intelligibility. MSA is only acquired through formal education and is not spoken natively. It is the language of literature, official documents, and formal written m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
